D 2013

FO Model Checking of Interval Graphs

GANIAN, Robert, Petr HLINĚNÝ, Daniel KRÁĽ, Jan OBDRŽÁLEK, Jarett SCHWARTZ et. al.

Basic information

Original name

FO Model Checking of Interval Graphs

Authors

GANIAN, Robert (840 United States of America), Petr HLINĚNÝ (203 Czech Republic, guarantor, belonging to the institution), Daniel KRÁĽ (203 Czech Republic), Jan OBDRŽÁLEK (203 Czech Republic, belonging to the institution), Jarett SCHWARTZ (840 United States of America) and Jakub TESKA (203 Czech Republic)

Edition

Berlin Heidelberg, ICALP (2) 2013, p. 250-262, 13 pp. 2013

Publisher

Springer

Other information

Language

English

Type of outcome

Stať ve sborníku

Field of Study

10201 Computer sciences, information science, bioinformatics

Country of publisher

Germany

Confidentiality degree

není předmětem státního či obchodního tajemství

Publication form

printed version "print"

Impact factor

Impact factor: 0.402 in 2005

RIV identification code

RIV/00216224:14330/13:00066379

Organization unit

Faculty of Informatics

ISBN

978-3-642-39211-5

ISSN

UT WoS

000342684100024

Keywords in English

interval graphs; first-order logic; parameterized complexity

Tags

International impact, Reviewed
Změněno: 14/11/2014 13:23, prof. RNDr. Petr Hliněný, Ph.D.

Abstract

V originále

We study the computational complexity of the FO model checking problem on interval graphs, i.e., intersection graphs of intervals on the real line. The main positive result is that this problem can be solved in time O(n log n) for n-vertex interval graphs with representations containing only intervals with lengths from a prescribed finite set. We complement this result by showing that the same is not true if the lengths are restricted to any set that is dense in some open subset, e.g., in the set (1, 1+epsilon).

Links

GAP202/11/0196, research and development project
Name: Třídy dobře strukturovaných kombinatorických objektů, šířkové parametry a návrh efektivních algoritmů
Investor: Czech Science Foundation, Well-structured combinatorial classes, width parameters, and design of efficient algorithms